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Finding the Third Proportional to 1,221,675.75 and 2,605,596.75

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Solution

The third proportional to 1,221,675.75 and 2,605,596.75 is: 5,557,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,675.75 : 2,605,596.75 = 2,605,596.75 : x
  2. Step 2: Convert to fraction form
    1,221,675.75/2,605,596.75 = 2,605,596.75/x
  3. Step 3: Cross multiply
    1,221,675.75x = 2,605,596.75 × 2,605,596.75
  4. Step 4: Simplify right side
    1,221,675.75x = 6,789,134,423,610.56
  5. Step 5: Solve for x
    x = 6,789,134,423,610.56/1,221,675.75
  6. Step 6: Final answer
    x = 5,557,231.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.